A finite deformation electro-mechanically coupled computational multiscale formulation for electrical conductors

Abstract Motivated by the influence of deformation-induced microcracks on effective electrical properties at macroscale, an electro-mechanically coupled computational multiscale formulation for conductors is proposed. The accounts finite deformation processes and a direct extension fundamental theoretical developments presented Kaiser Menzel (Arch Appl Mech 91:1509–1526, 2021) who assume geometrically linearised setting. More specifically speaking, averaging theorems electric field quantities are proposed boundary conditions that priori fulfil extended Hill–Mandel condition problem discussed. A study representative value problems in two- three-dimensional settings eventually shows applicability reveals severe microscale macroscale.